A subdivision is planned for forty houses,each with its own in-ground swimming pool.A contractor estimates it will take him 30 hours to build the first pool and that there is a 90% learning curve associated with this process.
-How long will it take to build all of the pools?
A)17.1 hours
B)642.75
C)796.3 hours
D)1200.0 hours

Question

Quizplus · Accepted Answer

The learning curve formula can be used to estimate how long it will take to build all 40 pools:

Tn = T1 * n^log(2)/log(0.9)

where Tn is the time to build the last pool (which is what we want to find), T1 is the time to build the first pool (30 hours), n is the cumulative number of pools built, and log(0.9) is the logarithm of the learning curve coefficient (which is 0.152, since there is a 90% learning curve).

For n = 40, we get:

T40 = 30 * 40^log(2)/log(0.9)
     ≈ 796.3 hours

Therefore, the best choice is C: 796.3 hours.

A Subdivision Is Planned for Forty Houses,each with Its Own